Stability of \(P\)-cyclic closed characteristics on \(P\)-symmetric compact convex hypersurfaces in \(\mathbb{R}^{2n}\)

DOI10.3934/DCDS.2024067MaRDI QIDQ6592962

Xiaorui Li, Hui Liu, Zhenxiong Li

Publication date: 26 August 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

stabilityHamiltonian systems\(P\)-cyclic closed characteristics\(P\)-symmetric compact convex hypersurfacesMaslov \(P\)-index iteration

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Index theory for dynamical systems, Morse-Conley indices (37B30) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)

Cites Work

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